Symbols:Real Analysis/Convolution of Real Sequences
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Convolution of Real Sequences
- $\sequence {f_i} * \sequence {g_i}$
Let $\sequence f$ and $\sequence g$ be real sequences.
The convolution of $f$ and $g$ is defined as:
- $\ds \sequence {f_i} * \sequence {g_i} := \sum_{j \mathop = 0}^i f_j g_{i - j}$
The $\LaTeX$ code for \(\sequence {f_i} * \sequence {g_i}\) is \sequence {f_i} * \sequence {g_i} .
Also see
Sources
- 1978: Ronald N. Bracewell: The Fourier Transform and its Applications (2nd ed.) ... (previous) ... (next): Frontispiece
- 1978: Ronald N. Bracewell: The Fourier Transform and its Applications (2nd ed.) ... (previous) ... (next): Chapter $4$: Notation for some useful Functions: Summary of special symbols: Table $4.1$ Special symbols
- 1978: Ronald N. Bracewell: The Fourier Transform and its Applications (2nd ed.) ... (previous) ... (next): Inside Back Cover